Let alpha=(a1,a2,,...ak) be a k-cycle in Sn (where n >=k).?

[Randy Smith]

let pi?Sn. Put bj= pi(aj) for 1<= j <=k and B=(b1, b2,...bk). Prove B=pi(alphi)pi^-1 "verify (pi) (alpha)=B(pi)"
let Xn,k be the set of all k-cycles in Sn. Explain why Xn,k is a single orbit of Inn (Sn).